EMSW21-RTG Mathematics of Materials: Model Development, Analysis, Simulation and Control

North Carolina State University, Raleigh NC

Investigators

Abstract

The program "Mathematics of Materials" provides a wide range of interdisciplinary research and training opportunities for undergraduates, graduate students, and postdocs in the mathematical sciences. The research activities are organized around five topics that play a fundamental role in emerging technologies: multifunctional materials, polymers and composites including carbon nanotubes, orthopaedic biomaterials, dynamics of thin material layers, and material behavior of laser welding. Within each topic, investigations focus on fundamental model development, mathematical solution, numerical simulation, and control design. Each project involves substantial collaboration with experimental colleagues that provides interdisciplinary training opportunities to mathematics students and postdocs. The training component is designed to prepare students and postdocs for the varied roles of interdisciplinary research mathematicians. This includes training modules that introduce participants to research and career topics not typically covered in coursework, targeted courses on topics pertaining to research areas and national research agendas, and participation in summer internships and national conferences. "Mathematics of Materials" is an interdisciplinary research training group program designed for undergraduates, graduate students and postdocs in the mathematical sciences. The research activities are organized around five topics that play a fundamental role in emerging technologies: multifunctional materials, polymers and composites including carbon nanotubes, orthopaedic biomaterials, dynamics of thin material layers, and material behavior of laser welding. The training component involves a coordinated set of activities designed to prepare students and postdocs for the varied roles of interdisciplinary research mathematicians. This includes training modules that introduce participants to research and career topics not covered in traditional coursework, new courses pertaining to the five research topics and areas of national need, and participation in summer internships and national conferences spanning multiple disciplines. The objective of the program is to attract and train highly qualified students and postdocs for academic and nonacademic careers at the interface between applied mathematics, materials science, engineering, physics, and advanced technology.